## Friday, July 20, 2007

### fibonacci, by muting

Fibonacci numbers are a sequence where the first two terms are both 1. for example the n is the number of the term and the F(n) is the value of the term. the number of the term are1,2,3,4,5...........but the value of the term is different, like 1, 1, 1+1=2, 2+1=3, 3+2=5, 5+3=8.........this one is a little easy, but then the golden ratio is little harder, approximate the answer to 3 decimal places, this number is call the golden ratio. you can solve the rectangle of the proportion of width/length=length/length+width by using cross multiply, the using quadratic formula.

This is the picture of a tree stem, as you know, it's kind of the Fibonacci that you can find in the nature. each length and the width of the stem is different than the other tree stem and they also have the different proportion. as you know, the line of the stem have some different . some are up and some are down and you sometime can figure out the stem by using Fibonacci